On Improvements of Kantorovich Type Inequalities

Chang-Jian Zhao and Wing-Sum Cheung
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Chang-Jian Zhao: Department of Mathematics, China Jiliang University, Hangzhou 310018, China
Wing-Sum Cheung: Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China

Mathematics, 2019, vol. 7, issue 3, 1-6

Abstract: In the paper, we give some new improvements of the Kantorovich type inequalities by using Popoviciu’s, Hölder’s, Bellman’s and Minkowski’s inequalities. These results in special case yield Hao’s, reverse Cauchy’s and Minkowski’s inequalities.

Keywords: Popoviciu’s inequality; Bellman’s inequality; Hölder’s weighted inequality; Minkowski’s inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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